A certain company offers in-home cral HIV testing. According to their website, out of 4,998 persons who were unaware of their HIV status, 96 persons were HIV positive and 4,902 wer HIV negative (as determine by an independent lab test). For 4,901 out of e 4,902 persons who were HIV negative, the company's test correctly predicted such a negative result, but incorrectly predicted a positive result for the one remaining person. Of the 96 persons were HIV positive, the company's test correctlypedicted a positive result for 90 of them and a negative result for the others. These results can be summarized in the table below Pos Neg Total HIV 90 6 96 No HIV 1 4,901 4,902 Total 91 4,907 4,998 Estimate P(HIV|Pos) for the population that the sample of 4,998 people represents. (Round to four decimal places as needed.)
A certain company offers in-home cral HIV testing. According to their website, out of 4,998 persons who were unaware of their HIV status, 96 persons were HIV positive and 4,902 wer HIV negative (as determine by an independent lab test). For 4,901 out of e 4,902 persons who were HIV negative, the company's test correctly predicted such a negative result, but incorrectly predicted a positive result for the one remaining person. Of the 96 persons were HIV positive, the company's test correctlypedicted a positive result for 90 of them and a negative result for the others. These results can be summarized in the table below Pos Neg Total HIV 90 6 96 No HIV 1 4,901 4,902 Total 91 4,907 4,998 Estimate P(HIV|Pos) for the population that the sample of 4,998 people represents. (Round to four decimal places as needed.)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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Conditional probability formula :
P(A | B) = P(A n B)/P(B)
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